<h2><em>I believe It's the third graph. There is a great graphing calculator you can use when you are trying to find the correct graph like this if you have access to it. It's also good for other graphing problems.</em></h2><h2><em>desmos.com/calculator</em></h2>
Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the withdrawals of a population, and for this case we know the following info
and
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean is given by:
We can find the probability of interest like this:
And using a calculator, excel or the normal standard table we have that:
The better statistics which can be used to compare the given distributions are mean and standard deviation.
<h3>What is a z-core?</h3>
A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.
In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:
<u>Where:</u>
- x is the observed data or sample mean.
- is the standard deviation.
In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.
Read more on standard deviation here: brainly.com/question/4302527
The total surface area is 1,445.13
and lateral surface area is
816.81
good luck